-x2-1.52x+4.7576=0

Solution for -x2-1.52x+4.7576=0 equation:

-x2-1.52x+4.7576=0

We add all the numbers together, and all the variables

-1x^2-1.52x+4.7576=0

a = -1; b = -1.52; c = +4.7576;
Δ = b2-4ac
Δ = -1.522-4·(-1)·4.7576
Δ = 21.3408
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1.52)-\sqrt{21.3408}}{2*-1}=\frac{1.52-\sqrt{21.3408}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.52)+\sqrt{21.3408}}{2*-1}=\frac{1.52+\sqrt{21.3408}}{-2}
$